Question

In: Math

An experiment was run to examine the amount of time it takes to boil a given...

  1. An experiment was run to examine the amount of time it takes to boil a given amount of water on the four different burners of her stove, and with 0, 2, 4, or 6 teaspoons of water. The numbers in parentheses are run order. The results of the design are given below. Use a=0.05 unless otherwise specified

Salt (teaspoons)

Burner

0

2

4

6

Right Back

7(7)

4(13)

7(24)

5(15)

8(21)

7(25)

7(34)

7(33)

7(30)

7(26)

7(41)

7(37)

Right Front

4(6)

4(36)

4(1)

4(28)

4(20)

5(44)

4(14)

4(31)

4(27)

4(45)

5(18)

4(38)

Left Back

6(9)

6(46)

7(8)

5(35)

7(16)

6(47)

6(12)

6(39)

6(22)

5(48)

7(43)

6(40)

Left Front

9(29)

8(5)

8(3)

8(2)

9(32)

8(10)

9(19)

8(4)

9(42)

8(11)

10(23)

7(17)

  1. Analyze the full model and check for significance
  2. Reduce your model
  3. Check the adequacy of this model
  4. Determine which settings yield the shortest time

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